Solve This Maths Puzzle

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Solve This Maths Puzzle

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A man died and leaves $10,000 in his will. There are 6 beneficiaries of his will - his 3 sons and their wives. The 3 wives receive $3,960 of which angelina gets $100 more than catherine and kate gets $100 more than angelina. Of the sons, mendes gets twice as much as his wife, douglas gets the same as his wife, and brad gets 50% more than his wife.

n a hotel, a man was sleeping when he heard a knock on the door. He shifted the blanket and stepped down from the bed. He waked to the door and opened it to find a stranger standing outside.
Upon opening the gate, that stranger said, "Pardon me, I must have made a mistake. I thought this was my room."
The stranger then walked the corridor and climbed down the stairs. The man closed the door and immediately called the security. He asked them to arrest that stranger immediately.
Why did he asked them to arrest that stranger? What made him suspicious?

While walking through the deepest jungle of the amazon, Steve the explorer came across a mystical tomb. He went closer and it read:
"Here lies two faithful husbands, with their two faithful wives,
Here lies two grandmothers along with their two granddaughters,
Here lies two dad's along with their two beloved daughters,
Here lies two mothers along with their two lovely sons,
Here lies two maidens along with their two charming mothers,
Here lies two sisters along with their two amazing brothers.
All were born legitimate, with no incest."
Steve, then checked and saw that there were only 6 graves in total

If two widows, each having a son married the son of the other widow, and then by the consummation of marriage, both the couples had a daughter, all the aforementioned relationships will turn to be true.

There are 100 doors. 100 strangers have been gathered in the adjacent room. The first one goes and opens every door. The second one goes and shuts down all the even numbered doors – second, fourth, sixth... and so on. The third one goes and reverses the current position of every third door (third, sixth, ninth… and so on.) i.e. if the door is open, he shuts it and if the door is shut, he switches opens it. All the 100 strangers progresses in the similar fashion.

After the last person has done what he wanted, which doors will be left open and which ones will be shut at the end?

Think deeply about the door number 56, people will visit it for every divisor it has. So 56 has 1 & 56, 2 & 28, 4 & 14, 7 & 8. So on pass 1, the 1st person will open the door; pass 2, 2nd one will close it; pass 4, open; pass 7, close; pass 8, open; pass 14, close; pass 28, open; pass 56, close.
Thus we can say that the door will just end up back in its original state for each pair of divisor. But what about the cases in which the pair of divisor has analogous number for example door number 16? 16 has the divisors 1 & 16, 2 & 8, 4&4. But 4 is recurrent because 16 is a perfect square, so you will only visit door number 16, on pass 1, 2, 4, 8 and 16… leaving it open at the end. So only perfect square doors will remain open at the end.

You have two cubes with plane faces. You have to mark both the cubes with numbers in a manner that all the days of a month can be portrayed using those cubes. Also, note that you have to use both the cubes for displaying any date. Suppose if you have to display the 5th day of the month, you will have to display it as 05.

I sit on Japan's latest maglev bullet train from its first station. The train starts and is now accelerating and is about to enter the tunnel. What is the best position for me to sit, considering I am a claustrophobic guy?

== Mathematical Answer ==
Mathematical Answer = number of seconds in a minute * number of minute in an hour * number hour in a day * number of day in year
60 * 60 * 24 * 365 = 31536000
60 * 60 * 24 * 365.25 = 31557600 (if you want account for leap year)

== We are looking for trick answer (which is 24) ==
Every month contains only 2 second like
A) 2nd January ("second" January)
B) 22nd January (twenty"second" January)

I was invited on a pet show by a fellow colleague. Since I was a bit busy that day, I sent my brother to the show. When he returned back I asked him about the show. He told me that all except two animals were fishes, all except two animals were cats and all except two entries were dogs.

To his statement I was a bit puzzled and I could not understand how many animals of each kind were present in that pet show. Can you tell me?

Explanation:
The question might appear a bit difficult in the starting but if you analyze the statements, you will realize that it is just a tricky one.

All except two were fishes and all except two were cats. With these statements we can assume that two of the animals were not fishes and two were not cats. Now one of those animals that are not fishes can be a cat and one of those two animals that are not cats can be a fish. Just carry out the same analysis for the statement that all except two animals were not dogs and you will come across the result i.e.:
In that competition, there was one fish, one cat and one dog.

A person has uncovered a secret that was a mystery for ages. He transfers the data into his hard drive and encrypts the drive with a password. Then, he writes a line on a paper to remember the password.

The line says 'You force heaven to be empty'.

Can you decrypt the line to reveal the password if you know that the password is seven characters long that comprise of just letters and numbers?

Imagine that you are travelling to a village. You happen to reach a point in the road where there is a fork. There are two ways that you can go into but only one amongst them is correct and leads to the village. You happen to see two men standing on the fork and you can ask them for the direction. To your bad luck, one amongst the two men always lies and the other one always says the truth. But you do not know who is a liar and who is not. At that point of the situation you are allowed to ask only one question to any one of the men standing there.

You can ask this question to any one person, "if I ask the man who is next you: which is the correct way and the road to the village, what would the person next to you answer?"
If you happened to ask this question to the liar, he will show you the wrong way.
And if you happened to ask this question to the one who says truth, he will also show you the wrong way.
Once you are done with this, take the other way. This will lead you to the village